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Finding the Fourth Proportional to 919.57, 1,379.34 and 432.28

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Solution

The fourth proportional to 919.57, 1,379.34 and 432.28 is: 648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.57 : 1,379.34 = 432.28 : x
  2. Step 2: Convert to fraction form
    919.57/1,379.34 = 432.28/x
  3. Step 3: Cross multiply
    919.57x = 1,379.34 × 432.28
  4. Step 4: Simplify right side
    919.57x = 596,261.10
  5. Step 5: Solve for x
    x = 596,261.10/919.57
  6. Step 6: Final answer
    x = 648.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.